• OTTER

  • Referenced in 263 articles [sw02904]
  • designed to prove theorems stated in first-order logic with equality. Otter’s inference rules...
  • VAMPIRE

  • Referenced in 190 articles [sw02918]
  • automatic theorem prover for first-order classical logic. It consists of a shell ... kernel. The kernel implements the calculi of ordered binary resolution and superposition for handling equality ... ordered unit equalities, and a lightweight basicness. The CASC version uses the Knuth-Bendix ordering ... accepts a problem in the full first-order logic syntax, clausifies it and performs...
  • E Theorem Prover

  • Referenced in 147 articles [sw10187]
  • theorem prover for full first-order logic with equality. It accepts a problem specification, typically ... consisting of a number of first-order clauses or formulas, and a conjecture, again either ... powerful and friendly reasoning systems for first-order logic. The prover has successfully participated...
  • SPASS

  • Referenced in 142 articles [sw04108]
  • automated theorem prover for first-order logic with equality. So the input for the prover ... valid and because validity in first-order logic is undecidable, SPASS may run forever without...
  • ETPS

  • Referenced in 143 articles [sw06302]
  • automated theorem-prover for first-order logic and type theory. The latter...
  • Prover9

  • Referenced in 137 articles [sw04969]
  • automated theorem prover for first-order and equational logic, and Mace4 searches for finite models...
  • TPS

  • Referenced in 66 articles [sw00973]
  • automated theorem-prover for first-order logic and type theory. The latter...
  • iProver

  • Referenced in 37 articles [sw09707]
  • instantiation-based theorem prover for first-order logic. iProver is an instantiation-based theorem prover ... Inst-Gen calculus, complete for first-order logic. One of the distinctive features of iProver...
  • Ivy

  • Referenced in 29 articles [sw10279]
  • Preprocessor and Proof Checker for First-Order Logic. This case study shows how non-ACL2 ... resolution/paramodulation automated theorem proving for first-order logic. The top ACL2 function takes a conjecture...
  • KeY

  • Referenced in 57 articles [sw09969]
  • novel theorem prover for the first-order Dynamic Logic for Java with a user-friendly...
  • OSCAR

  • Referenced in 37 articles [sw26328]
  • defeasible reasoner that is complete for first-order logic and provably adequate for the argument...
  • GEOTHER 1.1

  • Referenced in 27 articles [sw02842]
  • English or Chinese statement, into a first-order logical formula, or into algebraic expressions; draw...
  • Darwin

  • Referenced in 23 articles [sw04175]
  • automated theorem prover for first order clausal logic. It accepts problems formulated in tptp ... problems than propositional approaches. Darwin is the first implementation of the Model Evolution Calculus ... lifts the propositional DPLL procedure to first-order logic. One of the main motivations ... possibility of migrating to the first-order level some of those very effective search techniques...
  • leanCoP

  • Referenced in 18 articles [sw09756]
  • very compact theorem prover for classical first-order logic, based on the connection (tableau) calculus ... compact theorem prover for intuitionistic first-order logic and based on the clausal connection calculus...
  • SCR

  • Referenced in 17 articles [sw06939]
  • semantics by enabling events in first-order logic via two symbols pred and succ. This ... slight extension of first-order logic allows us to increase the readability...
  • REDLOG

  • Referenced in 145 articles [sw04250]
  • logic system, i.e., a system that provides algorithms for the symbolic manipulation of first-order...
  • Princess

  • Referenced in 23 articles [sw06872]
  • Theorem Proving in First-Order Logic modulo Linear Integer Arithmetic. Princess is a theorem prover...
  • KeYmaera

  • Referenced in 30 articles [sw03709]
  • which is a real-valued first-order dynamic logic for hybrid programs, a program notation...
  • Hyperproof

  • Referenced in 21 articles [sw22172]
  • software program. Unlike traditional treatments of first-order logic, Hyperproof combines graphical and sentential information...
  • Athena

  • Referenced in 10 articles [sw09967]
  • Athena is based on many-sorted first-order logic. Many-sorted first-order logic ... Maria Manzano in her ”Extensions of first-order logic”) have argued that ... logic. It retains the tractability of first-order logic (completeness, compactness, structural induction over terms...