1. Some previously discussed results (brief reminder).
1a. Cauchy forms in hyperlayers for a polynomially bounded
meromorphic function of two complex variables.
1b. Bootstrap conditions of the first and second kind.
Examples for the string-like (Lovelace) amplitude.
1c. Bootstrap conditions and the constructive field-theoretic
form of Veneziano's duality hypothesis.
2. How to assign meaning to the tree-level approximation of the extended
perturbation scheme of effective scattering theory of strongly
interacting scalar particles:
2a. The reduction procedure and classification of S-matrix parameters.
2b. The system of Feynman rules in terms of tree-level minimal
2c. Pole structure of the tree-level amplitude of binary scattering
2d. Two basic principles: summability and uniformity. Cauchy forms for
the tree-level 4-leg amplitude in three intersecting hyperlayers.
3. Bootstrap conditions and renormalization prescriptions fixing the
4-leg tree-level minimal vertex.
4. Additional constrains for the allowed set of renormalization
prescriptions that fix 3-leg minimal tree-level vertices.
5. Numerical tests of sum rules that follow from the bootstrap system.
5a. Numerical test in a toy bootstrap model for string-like amplitude.
5b. Numerical test of sum rules for pion-nucleon spectrum parameters