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+ + Matita (that means pencil in italian) is an experimental, + interactive theorem prover under development at the + Computer Science Department of the + University of Bologna. +
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An interactive prover is a software tool aiding the development of + formal proofs by man-machine collaboration. It provides a formal language + where mathematical definitions, executable algorithms and theorems cohexist, + and an interactive environment keeping the current status of the proof, + and updating it according to commands (usually called tactics) issued by the user. +
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+ + Matita is based on a Dependent Type System known as the Calculus of Inductive Constructions.
- -It embeds key computational constructs of functional programming languages: + functions can be defined by (well-founded) recursion, and are live entities that can be + tested and executed.
+ +At the same time, proofs are an integrated part of the formalism, allowing, via the + Curry Howard + isomorphism, a smooth interplay between + specification and reasoning: proofs are objects of the language, and + can be treated as normal data, naturally leading to a programming style + akin to proof-carrying-code, + where chunks of software + come equipped with proofs of (some of) their properties.
+ +Matita is currently adopted in the European Union "Certified Complexity" Project + CerCo for the formal verification of a + complexity-preserving compiler from a large subset of C to a microcontroller + assembly of the kind traditionally used in embedded systems. +
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