
Maude
 Referenced in 656 articles
[sw06233]
 system supporting both equational and rewriting logic specification and programming for a wide range ... which can be regarded as an equational logic sublanguage. Besides supporting equational specification and programming ... Maude also supports rewriting logic computation...

Isabelle
 Referenced in 399 articles
[sw00454]
 tools for proving those formulas in a logical calculus. The main application is the formalization...

Isabelle/HOL
 Referenced in 396 articles
[sw01569]
 tools for proving those formulas in a logical calculus. The main application is the formalization...

OTTER
 Referenced in 204 articles
[sw02904]
 prove theorems stated in firstorder logic with equality. Otter’s inference rules are based ... research in abstract algebra and formal logic. Otter and its predecessors have been used ... areas of finite semigroups, ternary Boolean algebra, logic calculi, combinatory logic, group theory, lattice theory...

Smodels
 Referenced in 213 articles
[sw04631]
 stable model semantics of normal logic programs. The basic idea of ASP is to encode ... constraints of a problem as a logic program such that the answer sets (stable models ... solve the problem by letting a logic program engine to find the answer sets...

HOL
 Referenced in 291 articles
[sw05492]
 Higher Order Logic (HOL) is a programming environment in which theorems can be proved...

PRISM
 Referenced in 289 articles
[sw01186]
 against specifications written in the probabilistic temporal logics PCTL and CSL. The tool features three...

ZTree
 Referenced in 272 articles
[sw11707]
 flexible both with respect to the logic of interaction and the visual representation, allowing...

Kronos
 Referenced in 253 articles
[sw01270]
 expressed in the realtime temporal logic TCTL...

ETPS
 Referenced in 132 articles
[sw06302]
 automated theoremprover for firstorder logic and type theory. The latter ... prove theorems of first and higherorder logic interactively, automatically, or in a mixture ... solving unification problems in higherorder logic. It has a formula editor which facilitates constructing ... been used under the name ETPS in logic courses at Carnegie Mellon for a number...

GOLOG
 Referenced in 155 articles
[sw02159]
 GOLOG: A logic programming language for dynamic domains. This paper proposes a new logic programming...

VAMPIRE
 Referenced in 151 articles
[sw02918]
 automatic theorem prover for firstorder classical logic. It consists of a shell ... problem in the full firstorder logic syntax, clausifies it and performs a number...

ASSAT
 Referenced in 141 articles
[sw02524]
 system for computing answer sets of a logic program by using SAT solvers. Briefly speaking ... given a ground logic program P, ASSAT(X), depending on the SAT solver X used...

HOL Light
 Referenced in 141 articles
[sw06580]
 interactive proof assistant for classical higherorder logic, intended as a clean and simplified version ... clean and simple design and extremely small logical kernel. Despite this, it provides powerful proof...

SATO
 Referenced in 187 articles
[sw04451]
 satisfiability (SAT) problem of propositional logic. In the last decade, we developed a very efficient...

NQTHM
 Referenced in 93 articles
[sw07543]
 computational logic handbook This book is a continuation of the same authors’ previous book entitled ... computational logic” (1979; Zbl 0448.68020). The truly important changes to the theorem prover since ... theorem prover. The significant changes in the logic itself are the efficient use of functions ... logic as new proof procedures upon the establishment of their soundness and the permission...

ELAN
 Referenced in 113 articles
[sw02179]
 support the design of theorem provers, logic programming languages, constraints solvers and decision procedures ... support the design of theorem provers, logic programming languages, constraints solvers and decision procedures ... known paradigm of rewriting provides both the logical framework in which deduction systems...

E Theorem Prover
 Referenced in 114 articles
[sw10187]
 theorem prover for full firstorder logic with equality. It accepts a problem specification, typically ... friendly reasoning systems for firstorder logic. The prover has successfully participated in many competitions...

LCF
 Referenced in 110 articles
[sw08360]
 proof assistant for higher order logic originally developed for reasoning about hardware.2 The multifaceted ... logics. Code Milner wrote is still in use today, and the design of the hardware...

Isar
 Referenced in 92 articles
[sw04599]
 quite independent of the underlying logic, and integrates a broad range of automated proof methods ... tightly integrated into the Isabelle/Pure metalogic implementation. Theories, theorems, proof procedures ... support a wide range of objectlogics. The current enduser setup is mainly...