Debian Science Project
Summary
Logic
Debian Science Logic packages

This metapackage is part of the Debian Pure Blend "Debian Science" and installs packages related to Computational Logic. It contains formula transformation tools, solvers for formulas specified in various logics, interactive proof systems, etc.

Description

For a better overview of the project's availability as a Debian package, each head row has a color code according to this scheme:

If you discover a project which looks like a good candidate for Debian Science to you, or if you have prepared an unofficial Debian package, please do not hesitate to send a description of that project to the Debian Science mailing list

Links to other tasks

Debian Science Logic packages

Official Debian packages with high relevance

agda
dependently typed functional programming language
Versions of package agda
ReleaseVersionArchitectures
trixie2.6.4.3-1all
bullseye2.6.1-1all
jessie2.4.0.2-2all
stretch2.5.1.1-3all
buster2.5.4.1-3all
sid2.6.4.3-1all
bookworm2.6.2.2-1.1all
upstream2.7.0.1
Debtags of package agda:
rolemetapackage
Popcon: 0 users (0 upd.)*
Newer upstream!
License: DFSG free
Git

Agda is a dependently typed functional programming language: It has inductive families, which are like Haskell's GADTs, but they can be indexed by values and not just types. It also has parameterised modules, mixfix operators, Unicode characters, and an interactive Emacs interface (the type checker can assist in the development of your code).

Agda is also a proof assistant: It is an interactive system for writing and checking proofs. Agda is based on intuitionistic type theory, a foundational system for constructive mathematics developed by the Swedish logician Per Martin-Löf. It has many similarities with other proof assistants based on dependent types, such as Coq, Epigram and NuPRL.

This is a meta package which provides Agda's emacs mode, executable, standard library and its documentation.

alt-ergo
Automatic theorem prover dedicated to program verification
Versions of package alt-ergo
ReleaseVersionArchitectures
buster2.0.0-3amd64,arm64,i386
bullseye2.0.0-7amd64,arm64,armel,i386,mips64el,mipsel,ppc64el,s390x
jessie0.95.2-3amd64,armel,armhf,i386
stretch1.30-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
Debtags of package alt-ergo:
roleprogram
uitoolkitgtk
Popcon: 0 users (0 upd.)*
Versions and Archs
License: DFSG free
Git

Alt-Ergo is an automatic theorem prover geared towards application in program verification. It is based on CC(X), a congruence closure algorithm parameterized by an equational theory X. Alt-Ergo has built-in provers for propositional logic, linear arithmetic, uninterpreted function symbols, associative-commutative function symbols, polymorphic arrays, user-defined polymorphic record types and polymorphic enumeration types. It has restricted support for reasoning over arbitrary user-defined algebraic types, first-order quantifiers, and non-linear arithmetic.

This package contains the prover as a command-line executable.

boolector
SMT solver for bit-vectors and arrays
Versions of package boolector
ReleaseVersionArchitectures
bookworm1.5.118.6b56be4.121013-1.3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
sid1.5.118.6b56be4.121013-1.3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
trixie1.5.118.6b56be4.121013-1.3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
jessie1.5.118.6b56be4.121013-1amd64,armel,armhf,i386
stretch1.5.118.6b56be4.121013-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
buster1.5.118.6b56be4.121013-1amd64,arm64,armhf,i386
bullseye1.5.118.6b56be4.121013-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
Debtags of package boolector:
roleprogram
Popcon: 0 users (2 upd.)*
Versions and Archs
License: DFSG free

Boolector is an efficient SMT solver for the quantifier-free theory of bit-vectors in combination with the quantifier-free extensional theory of arrays.

clasp
conflict-driven nogood learning answer set solver
Versions of package clasp
ReleaseVersionArchitectures
trixie3.3.5-4.2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm3.3.5-4.2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bullseye3.3.5-4amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster3.3.4-2amd64,arm64,armhf,i386
stretch3.2.1-3amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
jessie3.1.0-1amd64,armel,armhf,i386
sid3.3.5-4.2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Debtags of package clasp:
roleprogram
Popcon: 12 users (11 upd.)*
Versions and Archs
License: DFSG free
Git

clasp is an answer set solver for (extended) normal logic programs. It combines the high-level modeling capacities of answer set programming (ASP) with state-of-the-art techniques from the area of Boolean constraint solving. The primary clasp algorithm relies on conflict-driven nogood learning, a technique that proved very successful for satisfiability checking (SAT). Unlike other learning ASP solvers, clasp does not rely on legacy software, such as a SAT solver or any other existing ASP solver. Rather, clasp has been genuinely developed for answer set solving based on conflict-driven nogood learning. clasp can be applied as an ASP solver (on LPARSE output format), as a SAT solver (on simplified DIMACS/CNF format), or as a PB solver (on OPB format).

Please cite: Martin Gebser, Benjamin Kaufmann and Torsten Schaub: Conflict-Driven Answer Set Solving: From Theory to Practice. Artificial Intelligence (187–188):52–89 (2012)
coinor-cbc
Coin-or branch-and-cut mixed integer programming solver
Versions of package coinor-cbc
ReleaseVersionArchitectures
sid2.10.12+ds-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm2.10.8+ds1-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster2.9.9+repack1-1amd64,arm64,armhf,i386
jessie2.8.12-1amd64,armel,armhf,i386
bullseye2.10.5+ds1-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
stretch2.8.12-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
trixie2.10.12+ds-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Popcon: 70 users (24 upd.)*
Versions and Archs
License: DFSG free
Git

Cbc (Coin-or branch and cut) is an open-source mixed integer programming solver written in C++. It can be used as a callable library or as a stand-alone executable.

This package contains cbc executable.

coinor-symphony
COIN-OR solver for mixed-integer linear programs
Versions of package coinor-symphony
ReleaseVersionArchitectures
jessie5.6.1-1amd64,armel,armhf,i386
sid5.6.17+dfsg-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
trixie5.6.17+dfsg-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm5.6.17+dfsg-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bullseye5.6.16+repack1-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster5.6.16+repack1-1.1amd64,arm64,armhf,i386
stretch5.6.1-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
Popcon: 5 users (20 upd.)*
Versions and Archs
License: DFSG free
Git

SYMPHONY is an open-source generic mixed-integer linear programs (MILP) solver, callable library, and extensible framework for implementing customized solvers SYMPHONY has a number of advanced capabilities, including the ability to solve multi-objective MILPs, the ability to warm start its solution procedure, and the ability to perform basic sensitivity analyses.

SYMPHONY is part of the larger COIN-OR initiative (Computational Infrastructure for Operations Research).

This package contains the symphony executable.

coq
proof assistant for higher-order logic (toplevel and compiler)
Versions of package coq
ReleaseVersionArchitectures
sid8.19.1+dfsg-3amd64,arm64,ppc64el,riscv64,s390x
trixie8.19.1+dfsg-3amd64,arm64,ppc64el,riscv64,s390x
stretch8.6-4amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
bookworm8.16.1+dfsg-1amd64,arm64,armhf,i386,ppc64el,s390x
jessie8.4pl4dfsg-1amd64,armel,armhf,i386
bullseye8.12.0-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el
buster8.9.0-1amd64,arm64,armhf,i386
upstream8.20.0
Debtags of package coq:
develcompiler
fieldmathematics
interfacecommandline, text-mode
roleprogram
scopeutility
uitoolkitncurses
Popcon: 24 users (23 upd.)*
Newer upstream!
License: DFSG free
Git

Coq is a proof assistant for higher-order logic, which allows the development of computer programs consistent with their formal specification. It is developed using Objective Caml and Camlp5.

This package provides coqtop, a command line interface to Coq.

A graphical interface for Coq is provided in the coqide package. Coq can also be used with ProofGeneral, which allows proofs to be edited using emacs and xemacs. This requires the proofgeneral package to be installed.

The package is enhanced by the following packages: libaac-tactics-ocaml libssreflect-ocaml
cvc4
automated theorem prover for SMT problems
Versions of package cvc4
ReleaseVersionArchitectures
trixie1.8-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
buster1.6-2amd64,i386
bullseye1.8-2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm1.8-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
sid1.8-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Popcon: 3 users (6 upd.)*
Versions and Archs
License: DFSG free
Git

CVC4 is an efficient automatic theorem prover for satisfiability modulo theories (SMT) problems. It can be used to prove the validity (or, dually, the satisfiability) of first-order formulas in a large number of built-in logical theories and their combination.

CVC4 is intended to be an open and extensible SMT engine, and it can be used as a stand-alone tool or as a library. It is the fourth in the Cooperating Validity Checker family of tools (also including CVC, CVC Lite and CVC3). CVC4 has been designed to increase the performance and reduce the memory overhead of its predecessors.

This package contains binaries needed to use CVC4 as a stand-alone tool.

depqbf
solver for quantified boolean formulae
Versions of package depqbf
ReleaseVersionArchitectures
sid5.01-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
jessie3.04-1amd64,armel,armhf,i386
trixie5.01-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm5.01-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bullseye5.01-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster5.01-3amd64,arm64,armhf,i386
stretch5.01-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
Popcon: 0 users (1 upd.)*
Versions and Archs
License: DFSG free
Git

DepQBF is a search-based solver for quantified boolean formulae (QBF) in prenex conjunctive normal form. It is based on the DPLL algorithm for QBF, called QDPLL, with conflict-driven clause and solution-driven cube learning. By analyzing the syntactic structure of a formula, DepQBF tries to identify independent variables. In general, information on independent variables can be represented in the formal framework of dependency schemes. DepQBF computes the so-called "standard dependency scheme" of a given formula. In addition to other benefits, information on independent variables often increases the freedom for decision making and clause learning.

drat-trim
??? missing short description for package drat-trim :-(
Versions of package drat-trim
ReleaseVersionArchitectures
trixie0.0~git20240428.effa1dc-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
sid0.0~git20240428.effa1dc-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Popcon: 0 users (1 upd.)*
Versions and Archs
License: DFSG free
Git
gringo
grounding tools for (disjunctive) logic programs
Versions of package gringo
ReleaseVersionArchitectures
sid5.6.2-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bullseye5.4.1-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster5.3.0-10amd64,arm64,armhf,i386
stretch5.1.0-4amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
jessie4.4.0-1amd64,armel,armhf,i386
trixie5.6.2-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm5.4.1-3.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
upstream5.7.1
Debtags of package gringo:
roleprogram
Popcon: 14 users (12 upd.)*
Newer upstream!
License: DFSG free
Git

Current answer set solvers work on variable-free programs. Hence, a grounder is needed that, given an input program with first-order variables, computes an equivalent ground (variable-free) program.

This package contains the following tools:

  • gringo: a grounder that, given an input program with first-order variables, computes an equivalent ground (variable-free) program in aspif format. Its output can be processed further with answer set solver clasp. Starting with gringo series 5, its output is no longer directly compatible with solvers like smodels or cmodels reading smodels format. Use lpconvert for translating aspif format to smodels format.
  • clingo: combines both gringo and clasp into a monolithic system. This way it offers more control over the grounding and solving process than gringo and clasp can offer individually: multi-shot solving.
  • lpconvert: converter between gringo's aspif and smodels format.
  • reify: small utility that reifies logic programs given in aspif format. It produces a set of facts, which can be processed further with gringo.
Please cite: Martin Gebser, Roland Kaminski, Benjamin Kaufmann and Torsten Schaub: Multi-shot ASP solving with clingo. Theory and Practice of Logic Programming :1–56 (2018)
hol-light
HOL Light theorem prover
Versions of package hol-light
ReleaseVersionArchitectures
sid20231021-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
jessie20131026-1amd64,armel,armhf,i386
bookworm20230128-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bullseye20190729-4amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
stretch20170109-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
Popcon: 0 users (5 upd.)*
Versions and Archs
License: DFSG free
Git

HOL Light is an interactive theorem prover for Higher-Order Logic with a very simple logical core running in an OCaml toplevel. HOL Light is famous for the verification of floating-point arithmetic as well as for the Flyspeck project, which aimed at the formalization of Tom Hales' proof of the Kepler conjecture.

hol88
Higher Order Logic, system image
Maintainer: Camm Maguire
Versions of package hol88
ReleaseVersionArchitectures
stretch2.02.19940316-33amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
buster2.02.19940316-35amd64,arm64,armhf,i386
bullseye2.02.19940316-35.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm2.02.19940316dfsg-5amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
trixie2.02.19940316dfsg-5amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
sid2.02.19940316dfsg-5amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
jessie2.02.19940316-28amd64,armel,armhf,i386
Debtags of package hol88:
uitoolkitncurses
Popcon: 0 users (2 upd.)*
Versions and Archs
License: DFSG free

The HOL System is an environment for interactive theorem proving in a higher-order logic. Its most outstanding feature is its high degree of programmability through the meta-language ML. The system has a wide variety of uses from formalizing pure mathematics to verification of industrial hardware. Academic and industrial sites world-wide are using HOL.

kissat
??? missing short description for package kissat :-(
Versions of package kissat
ReleaseVersionArchitectures
sid4.0.1-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
trixie4.0.1-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Popcon: 1 users (1 upd.)*
Versions and Archs
License: DFSG free
Git
lbt
converts from LTL formulas to Büchi automata
Versions of package lbt
ReleaseVersionArchitectures
trixie1.2.2-7amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
sid1.2.2-7amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm1.2.2-7amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bullseye1.2.2-7amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster1.2.2-6amd64,arm64,armhf,i386
stretch1.2.2-6amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
jessie1.2.2-5amd64,armel,armhf,i386
Debtags of package lbt:
fieldmathematics
interfacecommandline
roleprogram
scopeutility
useconverting
Popcon: 4 users (6 upd.)*
Versions and Archs
License: DFSG free
Git

This software converts a linear temporal logic (ltl) formula to a generalised Büchi automaton. The resulting automaton may be used, for instance, in model checking, where it represents a property to be verified from a model (e.g. a Petri net).

maria
reachability analyzer for Algebraic System Nets
Versions of package maria
ReleaseVersionArchitectures
jessie1.3.5-4amd64,armel,armhf,i386
sid1.3.5-6amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
trixie1.3.5-6amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bullseye1.3.5-4.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm1.3.5-4.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster1.3.5-4.1amd64,arm64,armhf,i386
stretch1.3.5-4.1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
Debtags of package maria:
develtesting-qa
fieldmathematics
interfacetext-mode
roleprogram
scopeutility
uitoolkitncurses
Popcon: 7 users (6 upd.)*
Versions and Archs
License: DFSG free
Git

Maria is a powerful tool designed to aid engineers in modelling and solving concurrency related problems in parallel and distributed computing systems.

Maria finds deadlocks and violations against safety or liveness requirements by exploring all states that can be reached from the initial state of a system. The tool manages tens or hundreds of millions of reachable states and enabled actions.

The expressive power of Maria's formalism is close to high-level programming languages, thanks to its rich data type system and powerful algebraic operations.

maude
high-performance logical framework
Versions of package maude
ReleaseVersionArchitectures
sid3.4-1amd64,arm64,mips64el,ppc64el,riscv64,s390x
bullseye3.1-2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm3.2-2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
stretch2.7-2amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
jessie2.6-6amd64,armel,armhf,i386
trixie3.4-1amd64,arm64,mips64el,ppc64el,riscv64,s390x
buster2.7-2amd64,arm64,armhf,i386
upstream3.5
Debtags of package maude:
uitoolkitncurses
Popcon: 2 users (3 upd.)*
Newer upstream!
License: DFSG free
Git

Maude is a high-performance reflective language and system supporting both equational and rewriting logic specification and programming for a wide range of applications. Maude has been influenced in important ways by the OBJ3 language, which can be regarded as an equational logic sublanguage. Besides supporting equational specification and programming, Maude also supports rewriting logic computation.

Rewriting logic is a logic of concurrent change that can naturally deal with state and with concurrent computations. It has good properties as a general semantic framework for giving executable semantics to a wide range of languages and models of concurrency. In particular, it supports very well concurrent object-oriented computation. The same reasons making rewriting logic a good semantic framework make it also a good logical framework, that is, a metalogic in which many other logics can be naturally represented and executed.

Maude supports in a systematic and efficient way logical reflection. This makes Maude remarkably extensible and powerful, supports an extensible algebra of module composition operations, and allows many advanced metaprogramming and metalanguage applications. Indeed, some of the most interesting applications of Maude are metalanguage applications, in which Maude is used to create executable environments for different logics, theorem provers, languages, and models of computation.

Maude is of interest to the biomedical community for modeling and analysis of biological systems.

Please cite: M. Matsumoto and T. Nishimura: Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator. ACM Transactions on Modeling and Computer Simulation 8(1):3-30 (1998)
minisat+
solver for pseudo-Boolean constraints
Versions of package minisat+
ReleaseVersionArchitectures
sid1.0-5amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
jessie1.0-2amd64,armel,armhf,i386
stretch1.0-3amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
buster1.0-4amd64,arm64,armhf,i386
bullseye1.0-4amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm1.0-4amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
trixie1.0-5amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Debtags of package minisat+:
fieldmathematics
roleprogram
Popcon: 4 users (7 upd.)*
Versions and Archs
License: DFSG free
Git

MinSat+ is a solver for Pseudo-Boolean Optimization (AKA 0-1 integer programming) that is based on the MiniSat SAT-solver. It supports optimizing a linear objective function, subject to a set of linear constraints. The variables of the objective function and constraints are boolean, i.e. required to be 0 or 1. Pseudo-Boolean optimization can be used to solve many kinds of combinatorial optimization problems. This version of Minisat+ is compiled with bignum support for constraint coefficients.

mona
theorem prover based on automata
Versions of package mona
ReleaseVersionArchitectures
trixie1.4-18-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
buster1.4-17-1amd64,arm64,armhf,i386
bullseye1.4-17-2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
stretch1.4-17-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
jessie1.4-15-1amd64,armel,armhf,i386
sid1.4-18-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bookworm1.4-18-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
Debtags of package mona:
fieldmathematics
roleprogram
scopeutility
Popcon: 1 users (2 upd.)*
Versions and Archs
License: DFSG free
Git

MONA is a tool that translates formulas in the logics WS1S or WS2S into finite-state automata represented by BDDs. The formulas may express search patterns, temporal properties of reactive systems, parse tree constraints, etc. MONA also analyses the automaton resulting from the compilation, and determines whether the formula is valid and, if the formula is not valid, generates a counter-example.

Documentation is available from the MONA website http://www.brics.dk/mona/.

picosat
SAT solver with proof and core support
Versions of package picosat
ReleaseVersionArchitectures
sid965-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
jessie960-1amd64,armel,armhf,i386
stretch960-1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
buster960-1amd64,arm64,armhf,i386
bullseye965-2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm965-2amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
trixie965-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Debtags of package picosat:
fieldmathematics
roleprogram
Popcon: 13 users (13 upd.)*
Versions and Archs
License: DFSG free
Git

Despite the NP completeness of the satisfiabilty problem of Boolean formulas (SAT), SAT solvers are often able to decide this problem in a reasonable time frame. As all other NP complete problems are reducible to SAT, the solvers have become a general purpose tool for this class of problems.

PicoSAT is a SAT solver that turned out to be faster on industrial instances than MiniSAT 2.0 and also can generate proofs and cores in memory.

Screenshots of package picosat
proofgeneral
generic frontend for proof assistants
Versions of package proofgeneral
ReleaseVersionArchitectures
stretch4.4.1~pre170114-1all
bullseye4.4.1~pre170114-1.2all
bookworm4.4.1~pre170114-1.2all
sid4.5-2all
jessie4.3~pre131011-0.2all
Debtags of package proofgeneral:
fieldmathematics
interfacetext-mode, x11
roleplugin
suiteemacs
useediting
Popcon: 7 users (3 upd.)*
Versions and Archs
License: DFSG free
Git

Proof General is a major mode to turn Emacs into an interactive proof assistant to write formal mathematical proofs using a variety of theorem provers.

This package provides Proof General support for Coq. (There is no other proof assistant that one could sensibly support.)

Other screenshots of package proofgeneral
VersionURL
4.2~pre120605-2 -https://screenshots.debian.net/shrine/screenshot/9621/simage/large-cd932ab2b34519b53b8f75d22359cb9e.png
Screenshots of package proofgeneral
prover9
theorem prover and countermodel generator
Versions of package prover9
ReleaseVersionArchitectures
stretch0.0.200911a-2.1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
buster0.0.200911a-2.1amd64,arm64,armhf,i386
jessie0.0.200911a-2.1amd64,armel,armhf,i386
Popcon: 8 users (9 upd.)*
Versions and Archs
License: DFSG free
Bzr

This package provides the Prover9 resolution/paramodulation theorem prover and the Mace4 countermodel generator.

Prover9 is an automated theorem prover for first-order and equational logic. It is a successor of the Otter prover. Prover9 uses the inference techniques of ordered resolution and paramodulation with literal selection.

The program Mace4 searches for finite structures satisfying first-order and equational statements, the same kind of statement that Prover9 accepts. If the statement is the denial of some conjecture, any structures found by Mace4 are counterexamples to the conjecture.

Mace4 can be a valuable complement to Prover9, looking for counterexamples before (or at the same time as) using Prover9 to search for a proof. It can also be used to help debug input clauses and formulas for Prover9.

sat4j
Efficient library of SAT solvers in Java
Versions of package sat4j
ReleaseVersionArchitectures
bullseye2.3.5-0.3all
stretch2.3.5-0.2all
jessie2.3.3-1all
sid2.3.5-0.3all
trixie2.3.5-0.3all
bookworm2.3.5-0.3all
buster2.3.5-0.3all
Debtags of package sat4j:
fieldmathematics
roleprogram, shared-lib
Popcon: 14 users (2 upd.)*
Versions and Archs
License: DFSG free

The aim of the SAT4J library is to provide an efficient library of SAT solvers in Java. Compared to the OpenSAT project, the SAT4J library targets first users of SAT "black boxes", willing to embed SAT technologies into their application without worrying about the details. The SAT4J project also tries to provide a basis of work for SAT researchers.

spass
automated theorem prover for first-order logic with equality
Versions of package spass
ReleaseVersionArchitectures
bullseye3.9-1.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm3.9-1.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
jessie3.7-3amd64,armel,armhf,i386
stretch3.7-4amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
sid3.9-1.1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
trixie3.9-1.1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Debtags of package spass:
fieldmathematics
Popcon: 1 users (1 upd.)*
Versions and Archs
License: DFSG free
Git

SPASS is a saturation-based automated theorem prover for first-order logic with equality. It is unique due to the combination of the superposition calculus with specific inference/reduction rules for sorts (types) and a splitting rule for case analysis motivated by the beta-rule of analytic tableaux and the case analysis employed in the Davis-Putnam procedure. Furthermore, SPASS provides a sophisticated clause normal form translation.

This package consists of the SPASS/FLOTTER binary, documentation, and a small example collection. The tools collections contain the proof checker pcs, the syntax translators dfg2otter and dfg2tptp, and the ASCII pretty printer dfg2ascii.

toulbar2
Exact combinatorial optimization for Graphical Models
Versions of package toulbar2
ReleaseVersionArchitectures
bullseye1.1.1+dfsg-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm1.1.1+dfsg-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
sid1.2.1+dfsg-0.1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
buster1.0.0+dfsg3-2amd64,arm64,armhf,i386
Popcon: 2 users (4 upd.)*
Versions and Archs
License: DFSG free
Git

Toulbar2 is an exact discrete optimization tool for Graphical Models such as Cost Function Networks, Markov Random Fields, Weighted Constraint Satisfaction Problems and Bayesian Nets.

why3
Software verification platform
Versions of package why3
ReleaseVersionArchitectures
trixie1.7.2-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
sid1.7.2-2amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
stretch0.87.3-2amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
bullseye1.3.3-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm1.5.1-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
buster1.2.0-1amd64,arm64,armhf,i386
Popcon: 4 users (6 upd.)*
Versions and Archs
License: DFSG free
Git

Why3 is a platform for deductive program verification. It provides a rich language for specification and programming, called WhyML, and relies on external theorem provers, both automated and interactive, to discharge verification conditions. Why3 comes with a standard library of logical theories (integer and real arithmetic, Boolean operations, sets and maps, etc.) and basic programming data structures (arrays, queues, hash tables, etc.). A user can write WhyML programs directly and get correct-by-construction OCaml programs through an automated extraction mechanism. WhyML is also used as an intermediate language for the verification of C, Java, or Ada programs.

Why3 is a complete reimplementation of the former Why platform. Among the new features are: numerous extensions to the input language, a new architecture for calling external provers, and a well-designed API, allowing to use Why3 as a software library. An important emphasis is put on modularity and genericity, giving the end user a possibility to easily reuse Why3 formalizations or to add support for a new external prover if wanted.

z3
theorem prover from Microsoft Research
Versions of package z3
ReleaseVersionArchitectures
stretch4.4.1-1~deb9u1amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
sid4.13.3-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
buster4.4.1-1~deb10u1amd64,arm64,armhf,i386
bullseye4.8.10-1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm4.8.12-3.1amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
trixie4.13.3-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
Popcon: 9 users (31 upd.)*
Versions and Archs
License: DFSG free
Git

Z3 is a state-of-the-art theorem prover from Microsoft Research. It can be used to check the satisfiability of logical formulas over one or more theories. Z3 offers a compelling match for software analysis and verification tools, since several common software constructs map directly into supported theories.

The Z3 input format is an extension of the one defined by the SMT-LIB 2.0 standard.

Official Debian packages with lower relevance

coinor-libcoinmp-dev
Simple C API for COIN-OR Solvers Clp and Cbc -- development
Versions of package coinor-libcoinmp-dev
ReleaseVersionArchitectures
buster1.8.3-2amd64,arm64,armhf,i386
jessie1.7.6+dfsg1-1amd64,armel,armhf,i386
trixie1.8.3-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
experimental1.8.4+dfsg-1amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
sid1.8.3-3amd64,arm64,armel,armhf,i386,mips64el,ppc64el,riscv64,s390x
bullseye1.8.3-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
bookworm1.8.3-3amd64,arm64,armel,armhf,i386,mips64el,mipsel,ppc64el,s390x
stretch1.7.6+dfsg1-2amd64,arm64,armel,armhf,i386,mips,mips64el,mipsel,ppc64el,s390x
Popcon: 4 users (15 upd.)*
Versions and Archs
License: DFSG free

The Coin-MP optimizer is an open source solver, it is part of the COIN-OR project which is an initiative to spur the development of open-source software for the operations research community.

CoinMP is a C-API library that supports most of the functionality of CLP (Coin LP), CBC (Coin Branch-and-Cut), and CGL (Cut Generation Library) projects.

This package contains the files needed to build applications using libCoinMP.

*Popularitycontest results: number of people who use this package regularly (number of people who upgraded this package recently) out of 246035