Some examples of program synthesis. - Theorem proving: Being able to prove or disprove a mathematical statement based on axioms and other proven theorems. Eg:

Some examples of program synthesis. - Theorem proving: Being able to prove or disprove a mathematical statement based on axioms and other proven theorems. Eg: In formal software verification, building a program verifier based on the program's specification and source code or implementation. - Prolog Inference engine: Making inferences about logical statements based on other logical statements. Eg: deciding whether a user must be permitted or denied access to a resource based on various role assignments / group memberships. Another example would be the application of firewall rules.