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This monograph information a number of very important advances within the zone often called the proofs-as-programs paradigm, a suite of methods to constructing courses from proofs in optimistic common sense. It serves the twin function of offering a cutting-edge assessment of the sector and detailing instruments and strategies to stimulate extra learn. one of many book’s imperative subject matters is a basic, summary framework for constructing new platforms of software synthesis by way of adapting proofs-as-programs to new contexts, which the authors name the Curry--Howard Protocol. This protocol is used to supply novel functions for industrial-scale, complicated software program engineering: contractual valuable software synthesis and dependent software program synthesis. those purposes represent an exemplary justification for the applicability of the protocol to diversified contexts. The booklet is meant for graduate scholars in laptop technological know-how or arithmetic who desire to expand their historical past in good judgment and kind concept in addition to achieve adventure operating with logical frameworks and sensible facts structures. additionally, the proofs-as-programs examine neighborhood, and the broader computational good judgment, formal equipment and software program engineering groups will profit. The purposes given within the booklet may be of curiosity for researchers operating within the aim challenge domain names.