- <p class="spaced">
- <span class="screenshots">
- <a class="quiet" href="images/screenshot-tinycals.png">
- <img src="images/MINI_screenshot-tinycals.png" alt="Matita screenshot: tinycals" />
- </a>
- </span>
- The tactical language, part of the proof language, has
- step-by-step semantics, enabling inspection and replaying of deeply
- structured proof scripts. </p>
+ <p>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.</p>
+
+ <p>At the same time, proofs are an integrated part of the formalism, allowing, via the
+ <a href="http://en.wikipedia.org/wiki/Curry-Howard_correspondence">Curry Howard
+ isomorphism</a>, a smooth interplay between
+ specification, implementation and verification: proofs are objects of the language, and
+ can be treated as normal data, naturally leading to a programming style
+ akin to <a href="http://en.wikipedia.org/wiki/Proof-carrying_code">proof-carrying-code</a>,
+ where chunks of software
+ come equipped with proofs of (some of) their properties.</p>