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Category/Mathematics/proof-checker

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proof-checker (6)



Aris Heckert gnu.small.png
A sequential proof program, designed to assist anyone interested in solving logical proofs. Aris supports both propositional and predicate logic, as well as Boolean algebra and arithmetical logic in the form of abstract sequences. It uses a predefined set of both inference and equivalence rules, however gives the user options to use older proofs as lemmas, including Isabelle's Isar proofs.

Coq
A proof done with Coq is mechanically checked by the machine. In particular, Coq allows:

  • to define functions or predicates,
  • to state mathematical theorems and software specifications,
  • to develop interactively formal proofs of these theorems,
  • to check these proofs by a relatively small certification "kernel".

Otter Mace
Otter is an automated theorem prover for first-order and equational logic, and Mace2 searches for finite models and counterexamples. Otter/Mace2 are no longer being actively developed, and maintenance and support minimal. We recommend using Otter/Mace2's successor Prover9/Mace4 instead.

Poly ML
Poly/ML is an extremely fast and efficient implementation of Standard ML and provides several additional features. There is a foreign language interface which allows dynamically linked libraries to be loaded and functions within them called from ML. An X-Windows interface using Motif is available and a symbolic debugger for Poly/ML.

Prover 9
Prover9 is an automated theorem prover for first-order and equational logic, and Mace4 searches for finite models and counterexamples. Prover9 is the successor of the Otter prover.

Zenon
An Extensible Automated Theorem Prover Producing Checkable Proofs




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