@@ -17,31 +18,75 @@ integrates several Mathematical Knowledge Management tools and techniques.

Matita is traditional. Its logical foundation is the +

+ + + + + + Matita is traditional. Its logical foundation is the Calculus of (Co)Inductive Constructions (CIC). It can re-use - mathematical concepts produced by other proof assistants like - Coq and encoded in an - XML encoding of CIC. The interaction - paradigm of Matita is familiar, being inspired by CtCoq and + mathematical concepts produced by other proof assistants (e.g. + Coq) when encoded in an + XML representation of CIC. The + interaction paradigm of Matita is familiar, being inspired by CtCoq and Proof General. Its proof language is procedural in the same spirit of LCF.

Matita is innovative:

the user interface sports high quality bidimensional rendering of - proofs and formulae transformed on-the-fly to - MathML markup, on which direct - manipulation of the underlying CIC terms is still possible;
+
+ + + + + + + + + the user interface sports high quality bidimensional rendering of + proofs and formulae transformed on-the-fly to MathML markup, on which direct + manipulation of the underlying CIC terms is still possible; +
+
the knowledge base is distributed: every authored concepts can be - published becoming part of the Matita library which can be browsed as - an hypertext (locally or on the World Wide Web) and searched by means - of content-based queries;
+
+ + + + + + + + + + the knowledge base is distributed: every authored concepts can be + published becoming part of the Matita library which can be browsed as an hypertext + (locally or on the World Wide Web) and searched by means of + content-based queries;
+
the tactical language, part of the proof language, has +
+
+ + + + + + the tactical language, part of the proof language, has step-by-step semantics, enabling inspection and replaying of deeply - structured proof scripts.