Isabelle

Isabelle: Interactive Theorem Prover & Proof Assistant Tool

An open-source software for formalizing mathematical proofs, verifying them through automatic proof checking, and developing interactive and automated formal proof processing environments.

What is Isabelle?

Isabelle is an interactive theorem prover and proof assistant computer software that allows mathematicians and computer scientists to express mathematical formulas and algorithms using formal logic. It facilitates developing environments for interactive and automated formal proof processing.

Some key features of Isabelle include:

• Supports formalizing mathematical proofs and verifying their correctness
• Built-in proof procedures and automatic proof tools to aid in proof search
• Rich set of mathematical libraries and theories included
• LCF-style architecture provides high degree of trustworthiness of proofs
• Support for different formalisms like Higher-Order Logic, Zermelo-Fraenkel Set Theory, etc.
• Integrated development environment for writing specifications and proofs
• Plugin infrastructure to integrate with other tools like SMT solvers

Isabelle is used widely in research to formalize proofs in fields like mathematics, computer science, physics, etc. Its application areas include verification of safety critical systems, cryptographic protocols, machine learning models, and software/hardware systems. The Isabelle community continues to contribute new theories, tools, and techniques to expand its capabilities.

Isabelle Features

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